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Finding the Fourth Proportional to 214,529.42, 321,809.52 and 56,756

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Solution

The fourth proportional to 214,529.42, 321,809.52 and 56,756 is: 85,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,529.42 : 321,809.52 = 56,756 : x
  2. Step 2: Convert to fraction form
    214,529.42/321,809.52 = 56,756/x
  3. Step 3: Cross multiply
    214,529.42x = 321,809.52 × 56,756
  4. Step 4: Simplify right side
    214,529.42x = 18,264,621,117.12
  5. Step 5: Solve for x
    x = 18,264,621,117.12/214,529.42
  6. Step 6: Final answer
    x = 85,138.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.